Graph-Proportional or Non proportional?

Front

What is a proportional relationship in mathematics?

Back

A proportional relationship is one in which two quantities maintain a constant ratio or rate. This means that as one quantity increases or decreases, the other quantity does so in a consistent manner.

Front

How can you identify a proportional graph?

Back

A proportional graph is a straight line that passes through the origin (0,0). The slope of the line represents the constant ratio between the two variables.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is one where the ratio between two quantities is not constant. This can result in a graph that does not pass through the origin.

Front

What are some characteristics of a non-proportional graph?

Back

Non-proportional graphs may be curved or straight lines that do not pass through the origin. They can also have varying slopes.

Front

What is the significance of the origin in proportional relationships?

Back

The origin (0,0) is significant in proportional relationships because it indicates that when one quantity is zero, the other quantity is also zero, maintaining the constant ratio.

Front

How do you determine if a set of data points represents a proportional relationship?

Back

To determine if a set of data points is proportional, check if the ratio of the y-values to the x-values is constant for all points.

Front

What is the slope of a proportional graph?

Back

The slope of a proportional graph is the constant ratio of the change in y to the change in x, often represented as 'k' in the equation y = kx.

Front

Can a linear equation represent a non-proportional relationship?

Back

Yes, a linear equation can represent a non-proportional relationship if it has a y-intercept other than zero.

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship is typically written as y = kx, where k is the constant of proportionality.

Front

What role does the constant of proportionality play in a proportional relationship?

Back

The constant of proportionality (k) determines the steepness of the line in a proportional relationship and indicates how much y changes for a unit change in x.